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144705504345 = 35314171106903
BaseRepresentation
bin1000011011000100011…
…1101100010001011001
3111211111202221021012220
42012301013230101121
54332324102114340
6150250553054253
713311636330603
oct2066107542131
9454452837186
10144705504345
1156407537206
12240656b7389
13108516cc2ac
14700a550173
153b6dda4ed0
hex21b11ec459

144705504345 has 64 divisors (see below), whose sum is σ = 248277270528. Its totient is φ = 71838144000.

The previous prime is 144705504329. The next prime is 144705504413. The reversal of 144705504345 is 543405507441.

It is not a de Polignac number, because 144705504345 - 24 = 144705504329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144705504297 and 144705504306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1300164 + ... + 1407066.

It is an arithmetic number, because the mean of its divisors is an integer number (3879332352).

Almost surely, 2144705504345 is an apocalyptic number.

144705504345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144705504345 is a deficient number, since it is larger than the sum of its proper divisors (103571766183).

144705504345 is a wasteful number, since it uses less digits than its factorization.

144705504345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107054.

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 144705504345 in words is "one hundred forty-four billion, seven hundred five million, five hundred four thousand, three hundred forty-five".

Divisors: 1 3 5 15 31 41 71 93 123 155 205 213 355 465 615 1065 1271 2201 2911 3813 6355 6603 8733 11005 14555 19065 33015 43665 90241 106903 270723 320709 451205 534515 1353615 1603545 3313993 4383023 7590113 9941979 13149069 16569965 21915115 22770339 37950565 49709895 65745345 113851695 135873713 235293503 311194633 407621139 679368565 705880509 933583899 1176467515 1555973165 2038105695 3529402545 4667919495 9647033623 28941100869 48235168115 144705504345